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May 15, 2024

Assignment Task

Systems Modelling and Simulation Assignment

Every year, the individual assignment for the Systems Modelling and Simulation module revolves around a distinct theme. Previous assignments featured themes such as manufacturing, banking services, airports, and logistics. This year, our focus is on Healthcare. This diversity allows you to appreciate how this foundational subject can be applied to various problems with similar performance indicators. Embrace this year’s assignment with enthusiasm!

Case Scenario

A clinical center in a war-torn, remote area receives patients with diverse conditions around the clock, admitting two types of patients:

  • Patient Type 1 (Low Priority): These patients are typically treated by Clinical Nurses (CN) or General Practitioners (GP). They arrive at the hospital with an exponential rate (Expo) of 20 minutes. After registration (with a Poisson distribution of 8 minutes), they proceed to the Triage station. If a CN is available, they are assigned; otherwise, a GP conducts the assessment. Patients waiting in the Triage queue face a maximum limit of 20 individuals; those exceeding this limit leave the hospital. Patients arriving during breaks in admissions depart due to closure.

  • Patient Type 2 (High Priority): Patients with severe illnesses or wounds arrive at an Expo rate of 220 minutes and bypass the admission process. They are assessed immediately and may require immediate surgical attention.

Key Simulation Questions:

  1. Total Number of patients treated by type.
  2. Average waiting time for each patient type.
  3. Average staff utilization.
  4. Average time spent in the system by patient type.
  5. Average Work-in-Progress (WIP) by patient type.
  6. Identification of bottlenecks and their implications.
  7. Number of lost patients due to resource constraints.
  8. Mortality rate and its implications.
  9. Impact on mortality rate if patients wait over 1 hour for transfer.
  10. Optimal queue size to minimize mortality.

Improvement Recommendations:

  • Reduce patient losses due to long queues.
  • Enhance resource utilization.
  • Support required by clinical staff to minimize casualties.
  • Recommendations for reducing mortality rate.

Resource Allocation Recommendations:

  • Increase beds and staff with specific expertise.
  • Improve equipment availability.

Optimal System Simulation:

Simulate the ideal system with balanced resource utilization and minimal casualties. Analyze the financial implications of recommended changes.

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